381346624
381,346,624 is an even composite number composed of five prime numbers multiplied together.
381346624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 381346624:
26 × 23 × 31 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 23 × 31 × 61 × 137)See below for interesting mathematical facts about the number 381346624 from the Numbermatics database.
Names of 381346624
- Cardinal: 381346624 can be written as Three hundred eighty-one million, three hundred forty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 3.81346624 × 108
Factors of 381346624
Divisors of 381346624
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 4 8 16 23 31 32 46 61 62 64 92 122 124 137 184 244 248 274 368 488 496 548 713 736 976 992 1096 1403 1426 1472 1891 1952 1984 2192 2806 2852 3151 3782 3904 4247 4384 5612 5704 6302 7564 8357 8494 8768 11224 11408 12604 15128 16714 16988 22448 22816 25208 30256 33428 33976 43493 44896 45632 50416 60512 66856 67952 86986 89792 97681 100832 121024 133712 135904 173972 192211 195362 201664 259067 267424 271808 347944 384422 390724 518134 534848 695888 768844 781448 1036268 1391776 1537688 1562896 2072536 2783552 3075376 3125792 4145072 5958541 6150752 6251584 8290144 11917082 12301504 16580288 23834164 47668328 95336656 190673312 381346624
- Sum of all divisors σ(n): 834518016
- Sum of proper divisors (its aliquot sum) s(n): 453171392
- 381346624 is an abundant number, because the sum of its proper divisors (453171392) is greater than itself. Its abundance is 71824768
Bases of 381346624
- Binary: 101101011101011100011010000002
- Hexadecimal: 0x16BAE340
- Base-36: 6B1KXS
Squares and roots of 381346624
- 381346624 squared (3813466242) is 145425247636197376
- 381346624 cubed (3813466243) is 55457427230427849535258624
-
The
square root of 381346624 is 19528.0983201129 -
The
cube root of 381346624 is 725.1702328753
Scales and comparisons
How big is 381346624?- 381,346,624 seconds is equal to 12 years, 6 weeks, 3 days, 17 hours, 37 minutes, 4 seconds.
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To count from 1 to 381,346,624 would take you about eighteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 381346624 cubic inches would be around 60.4 feet tall.
Recreational maths with 381346624
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The information we have on file for 381346624 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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